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Towards a unified description of quantum liquid and cluster states in atomic nuclei within the relativistic energy density functional framework

Abstract : In this thesis we develop a symmetry-conserving collective model for nuclear structure studies based on the relativistic energy density functional framework. Axially-symmetric quadrupole- and octupole-deformed reference states are generated by solving the relativistic Hartree-Bogoliubov equations. In the particle-hole channel of the effective interaction we employ the covariant point-coupling DD-PC1 functional, while the non-relativistic pairing force separable in momentum space is used in the particle-particle channel. Collective correlations related to restoration of broken symmetries are accounted for by simultaneously projecting reference states on good values of angular momenta, parity, and particle numbers. In the next step, symmetry-restored states are mixed within the generator coordinate method formalism. This enables us to obtain detailed spectroscopic predictions, including excitation energies, electromagnetic multipole moments and transition rates, as well as both the elastic and inelastic form factors. The described framework is global and it can be employed in various nuclear structure studies across the entire nuclide chart. As a first application, we will study formation of clusters in light nuclei. Nuclear clustering is considered to be a transitional phenomenon between quantum-liquid and solid phases in nuclei. In contrast to the conventional homogeneous quantum-liquid picture, spatial localization of alpha-particles gives rise to a molecule-like picture of atomic nuclei. In particular, we carry out a comprehensive analysis of quadrupole-octupole collectivity and cluster structures in neon isotopes. A special attention is paid to the case of self-conjugate ²⁰Ne isotope, where cluster structures are thought to form already in the ground state. Finally, we study the low-lying structure of ¹²C isotope. We focus on the structure of bands built on 0⁺ states that are known to manifest a rich variety of shapes, including the triangular configurations of the Hoyle band and 3-alpha linear chains in higher states.
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Petar Marević. Towards a unified description of quantum liquid and cluster states in atomic nuclei within the relativistic energy density functional framework. Nuclear Theory [nucl-th]. Université Paris-Saclay, 2018. English. ⟨NNT : 2018SACLS358⟩. ⟨tel-01915952⟩

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